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232725988560 = 243513193925877
BaseRepresentation
bin1101100010111110001…
…1001100010011010000
3211020201002000011011210
43120233203030103100
512303110323113220
6254525101340120
722546111156242
oct3305743142320
9736632004153
10232725988560
118a77583183a
123912b567640
1318c3b399b50
14b39a5a6092
1560c15686e0
hex362f8cc4d0

232725988560 has 160 divisors (see below), whose sum is σ = 817838904960. Its totient is φ = 54271309824.

The previous prime is 232725988549. The next prime is 232725988567. The reversal of 232725988560 is 65889527232.

It is a happy number.

It is a super-2 number, since 2×2327259885602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 232725988560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232725988567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903659 + ... + 2022218.

It is an arithmetic number, because the mean of its divisors is an integer number (5111493156).

Almost surely, 2232725988560 is an apocalyptic number.

232725988560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232725988560 is an abundant number, since it is smaller than the sum of its proper divisors (585112916400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232725988560 is a wasteful number, since it uses less digits than its factorization.

232725988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925925 (or 3925919 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 232725988560 in words is "two hundred thirty-two billion, seven hundred twenty-five million, nine hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 3925877 7851754 11777631 15703508 19629385 23555262 31407016 39258770 47110524 51036401 58888155 62814032 74591663 78517540 94221048 102072802 117776310 149183326 153109203 157035080 188442096 204145604 223774989 235552620 255182005 298366652 306218406 314070160 372958315 408291208 447549978 471105240 510364010 596733304 612436812 745916630 765546015 816582416 895099956 942210480 969691619 1020728020 1118874945 1193466608 1224873624 1491833260 1531092030 1790199912 1939383238 2041456040 2237749890 2449747248 2909074857 2983666520 3062184060 3580399824 3878766476 4082912080 4475499780 4848458095 5818149714 5967333040 6124368120 7757532952 8950999560 9696916190 11636299428 12248736240 14545374285 15515065904 17901999120 19393832380 23272598856 29090748570 38787664760 46545197712 58181497140 77575329520 116362994280 232725988560